13286400 has 132 divisors (see below), whose sum is σ = 44166072. Its totient is φ = 3522560.

The previous prime is 13286393. The next prime is 13286407. The reversal of 13286400 is 468231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13286393) and next prime (13286407).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13286407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76714 + ... + 76886.

Almost surely, 2^13286400 is an apocalyptic number.

13286400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22083036).

13286400 is an abundant number, since it is smaller than the sum of its proper divisors (30879672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13286400 is a wasteful number, since it uses less digits than its factorization.

13286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13286400 is about 3645.0514399662. The cubic root of 13286400 is about 236.8476651066.

The spelling of 13286400 in words is "thirteen million, two hundred eighty-six thousand, four hundred".